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Simplifying (5 + 3i) + (4 + -4i) = 0 Remove parenthesis around (5 + 3i) 5 + 3i + (4 + -4i) = 0 Remove parenthesis around (4 + -4i) 5 + 3i + 4 + -4i = 0 Reorder the terms: 5 + 4 + 3i + -4i = 0 Combine like terms: 5 + 4 = 9 9 + 3i + -4i = 0 Combine like terms: 3i + -4i = -1i 9 + -1i = 0 Solving 9 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1i = 0 + -9 -1i = 0 + -9 Combine like terms: 0 + -9 = -9 -1i = -9 Divide each side by '-1'. i = 9 Simplifying i = 9
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